On duality for a second-order multiobjective fractional programming problem involving type-I functions (Q2333577)

In this paper, the concepts of second-order \((C,\alpha,\rho,d)\)-V-type-I and second-order semistrictly \((C,\alpha,\rho,d)\)-V-type-I functions are introduced. The authors consider a nondifferentiable multiobjective fractional programming problem in which each component of the objective functions and as well as of the constraints contains the support function of a compact convex set. Under the assumptions of second-order (semistrictly) \((C,\alpha,\rho,d)\)-V-type-I functions, they establish weak, strong and strict converse duality theorems for Mond-Weir and Wolfe -type dual programs. Special cases are also discussed to show that the results obtained generalize some existing known papers in the literature.